(a) Here's a Calculus 1 optimization problem you probably solved before. Show that the shortest distance from the origin to the line bx +ay = ab (where a and b are positive constants) is dmin= ab √a² + b²²

Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated 4 units right and 1 unit down b) Congruent to y=0.5x2 with a maximum value of -4 at x = -2

Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2, 8) and (-2,0). ALL delete it.

Please answer this within 30 mins ! I will upvote!